Carmelo Clavero

39 papers Journal 36Unranked 3

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	A fast robust numerical method for singularly perturbed parabolic convection-diffusion systems with a non-smooth source term. Comput. Appl. Math. Aishwarya Jaiswal, Sunil Kumar, Carmelo Clavero
2026	J	`jnl`	An effcient spline method to solve two-parameter 1D parabolic singularly perturbed systems with time delay and different diffusion parameters. J. Appl. Math. Comput. Parvin Kumari, Carmelo Clavero
2026	J	`jnl`	Efficient component-wise splitting approach to solve coupled singularly perturbed parabolic reaction-diffusion systems with interior layers. Numer. Algorithms Aishwarya Jaiswal, Sunil Kumar, Carmelo Clavero
2026	J	`jnl`	Spline-based approximation for two-parameter singularly perturbed systems with large time delay with applications in science and engineering. Math. Comput. Simul. Parvin Kumari, Carmelo Clavero
2025	J	`jnl`	An efficient numerical method for 1D singularly perturbed parabolic convection-diffusion systems with repulsive interior turning points. J. Comput. Appl. Math. Carmelo Clavero, Juan Carlos Jorge
2025	J	`jnl`	An efficient numerical method for 2D elliptic singularly perturbed systems with different magnitude parameters in the diffusion and the convection terms. Comput. Math. Appl. Carmelo Clavero, Ram Shiromani
2024	J	`jnl`	A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection-reaction-diffusion PDEs. J. Comput. Appl. Math. Carmelo Clavero, Ram Shiromani, Vembu Shanthi
2023	J	`jnl`	A multi-splitting method to solve 2D parabolic reaction-diffusion singularly perturbed systems. J. Comput. Appl. Math. Carmelo Clavero, Juan Carlos Jorge
2023	J	`jnl`	Numerical solution of singularly perturbed 2-D convection-diffusion elliptic interface PDEs with Robin-type boundary conditions. Comput. Math. Appl. Carmelo Clavero, Ram Shiromani, Vembu Shanthi
2021	J	`jnl`	A uniformly convergent scheme to solve two-dimensional parabolic singularly perturbed systems of reaction-diffusion type with multiple diffusion parameters. Comput. Math. Methods Carmelo Clavero, Juan Carlos Jorge
2020	J	`jnl`	An efficient and uniformly convergent scheme for one-dimensional parabolic singularly perturbed semilinear systems of reaction-diffusion type. Numer. Algorithms Carmelo Clavero, Juan Carlos Jorge
2019	J	`jnl`	An efficient numerical method for singularly perturbed time dependent parabolic 2D convection-diffusion systems. J. Comput. Appl. Math. Carmelo Clavero, Juan Carlos Jorge
2019	J	`jnl`	Uniformly convergent additive schemes for 2d singularly perturbed parabolic systems of reaction-diffusion type. Numer. Algorithms Carmelo Clavero, Jose L. Gracia
2018	J	`jnl`	Numerical approximation of 2D time dependent singularly perturbed convection-diffusion problems with attractive or repulsive turning points. Appl. Math. Comput. Carmelo Clavero, Jesús Vigo-Aguiar
2018	J	`jnl`	Solving efficiently one dimensional parabolic singularly perturbed reaction-diffusion systems: A splitting by components. J. Comput. Appl. Math. Carmelo Clavero, Juan Carlos Jorge
2017	J	`jnl`	A first approach in solving initial-value problems in ODEs by elliptic fitting methods. J. Comput. Appl. Math. Jesús Vigo-Aguiar, Higinio Ramos, Carmelo Clavero
2017	J	`jnl`	A fractional step method for 2D parabolic convection-diffusion singularly perturbed problems: uniform convergence and order reduction. Numer. Algorithms Carmelo Clavero, Juan Carlos Jorge
2017	J	`jnl`	An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers. J. Comput. Appl. Math. Carmelo Clavero, Jose L. Gracia, Grigorii I. Shishkin, Lidia P. Shishkina
2016	J	`jnl`	Uniform convergence and order reduction of the fractional implicit Euler method to solve singularly perturbed 2D reaction-diffusion problems. Appl. Math. Comput. Carmelo Clavero, Juan Carlos Jorge
2015	J	`jnl`	Another uniform convergence analysis technique of some numerical methods for parabolic singularly perturbed problems. Comput. Math. Appl. Carmelo Clavero, Juan Carlos Jorge
2014	J	`jnl`	An improved uniformly convergent scheme in space for 1D parabolic reaction-diffusion systems. Appl. Math. Comput. Carmelo Clavero, Jose L. Gracia
2014	J	`jnl`	Uniformly convergent additive finite difference schemes for singularly perturbed parabolic reaction-diffusion systems. Comput. Math. Appl. Carmelo Clavero, Jose L. Gracia
2013	J	`jnl`	A higher order uniformly convergent method with Richardson extrapolation in time for singularly perturbed reaction-diffusion parabolic problems. J. Comput. Appl. Math. Carmelo Clavero, Jose L. Gracia
2012	J	`jnl`	A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems. Appl. Math. Comput. Carmelo Clavero, Jose L. Gracia
2012	J	`jnl`	Numerical Experiments for a Singularly Perturbed Parabolic Problem with Degenerating Convective Term and Discontinuous Source. Comput. Methods Appl. Math. Carmelo Clavero, Jose L. Gracia, Grigorii I. Shishkin, Lidia P. Shishkina
2011	J	`jnl`	A simpler analysis of a hybrid numerical method for time-dependent convection-diffusion problems. J. Comput. Appl. Math. Carmelo Clavero, Jose L. Gracia, Martin Stynes
2010	J	`jnl`	An almost third order finite difference scheme for singularly perturbed reaction-diffusion systems. J. Comput. Appl. Math. Carmelo Clavero, Jose L. Gracia, Francisco Javier Lisbona
2010	J	`jnl`	Higher order global solution and normalized flux for singularly perturbed reaction-diffusion problems. Appl. Math. Comput. Rajesh K. Bawa, Carmelo Clavero
2010	J	`jnl`	On the uniform convergence of a finite difference scheme for time dependent singularly perturbed reaction-diffusion problems. Appl. Math. Comput. Carmelo Clavero, Jose L. Gracia
2009	J	`jnl`	A robust second-order numerical method for global solution and global normalized flux of singularly perturbed self-adjoint boundary-value problems. Int. J. Comput. Math. Carmelo Clavero, Rajesh K. Bawa, Srinivasan Natesan
2007	J	`jnl`	A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems. Numerische Mathematik Blanca Bujanda, Carmelo Clavero, Jose L. Gracia, Juan Carlos Jorge
2005	J	`jnl`	A parameter robust numerical method for a two dimensional reaction-diffusion problem. Math. Comput. Carmelo Clavero, Jose L. Gracia, Eugene O'Riordan
2005	J	`jnl`	High order methods for elliptic and time dependent reaction-diffusion singularly perturbed problems. Appl. Math. Comput. Carmelo Clavero, Jose L. Gracia
2001	J	`jnl`	Numerical experiments for advection-diffusion problems in a channel with a 180° bend. Appl. Math. Comput. Carmelo Clavero, John J. H. Miller, Eugene O'Riordan, Grigorii I. Shishkin
2000	—	`conf`	High Order varepsilon-Uniform Methods for Singularly Perturbed Reaction-Diffusion Problems. NAA Jose L. Gracia, Francisco Javier Lisbona, Carmelo Clavero
2000	—	`conf`	Multigrid Methods and Finite Difference Schemes for 2D Singularly Perturbed Problems. NAA Francisco José Gaspar, Francisco Javier Lisbona, Carmelo Clavero
1999	J	`jnl`	High order methods on Shishkin meshes for singular perturbation problems of convection-diffusion type. Numer. Algorithms Carmelo Clavero, Jose L. Gracia, Francisco Javier Lisbona
1996	—	`conf`	Splitting Time Methods and One Dimensional Special Meshes for Reaction-Diffusion Parabolic Problems. WNAA Carmelo Clavero, Juan Carlos Jorge, Francisco Javier Lisbona, Grigorii I. Shishkin
1993	J	`jnl`	Uniformly convergent finite difference methods for singularly perturbed problems with turning points. Numer. Algorithms Carmelo Clavero, Francisco Javier Lisbona